Lax pairs of discrete Painlev\'e equations: $(A_2+A_1)^{(1)}$ case
Mathematical Physics
2017-02-08 v5 math.MP
Exactly Solvable and Integrable Systems
Abstract
In this paper, we provide a comprehensive method for constructing Lax pairs of discrete Painlev\'e equations by using a reduced hypercube structure. In particular, we consider the -surface -Painlev\'e system which has the affine Weyl group symmetry of type . Two new Lax pairs are found.
Keywords
Cite
@article{arxiv.1503.04515,
title = {Lax pairs of discrete Painlev\'e equations: $(A_2+A_1)^{(1)}$ case},
author = {Nalini Joshi and Nobutaka Nakazono},
journal= {arXiv preprint arXiv:1503.04515},
year = {2017}
}
Comments
13 pages, 2 figures